船舶非线性横摇运动分析的Lyapunov特性指数法  

The Method of Lyapunov Characteristic Exponents for Analyzing the Stability of Ship′s Nonlinear Rolling Motion

作　　者：丁勇[1] 胡开业[1] 邱敏芝 

机构地区：[1]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001

出　　处：《中国造船》2008年第3期1-6,共6页Shipbuilding of China

摘　　要：将Lyapunov特性指数用于船舶非线性横摇运动稳定性分析,阐述了Lyapunov特性指数的计算方法。将Lyapunov特性指数作为船舶非线性运动混沌态的判据,给出了Lyapunov特性指数与船舶运动状态之间的关系,通过仿真试验验证了该算法的有效性,并进一步采用Lyapunov特性指数精确寻求船舶非线性横摇运动的阈值,分析了船舶非线性横摇运动的全局稳定性。The stability of ship nonlinear rolling motion is analysesed used LCEs （Lyapunov Characteristic Exponents） in this paper. The LCEs are employed as the criteria for chaos in the field of chaotic detection for ship nonlinear rolling motion. The method calculating the LCEs of ship nonlinear rolling system is presented and the relation curves between the LCEs and ship morement are given. Simulation results show the method is validation. And the LCEs would be used to find the chaotic threshold of ship nonlinear rolling motion.

关 键 词：船舶 舰船工程 非线性横摇 Lyapunov特性指数 混沌态判据 

分 类 号：U661.32[交通运输工程—船舶及航道工程]